I don't know. It occurs to me that minimum wage isn't the way to put more money into the pockets of average Americans, even the lowest wage earners. Now, if those low wage earners were to go somewhere else as you suggest, who would take their place?
Would it be higher wage earners, doing the same jobs?
Maybe.
Maybe there would be fewer stores, less competition, and higher pay for the remaining employees, who might also have to bring more to the table?
I'm from NJ, so... high population density, high cost of living, high taxes, & etc...
There are litterally huge swaths of NJ where you can't swing a dead cat by the tail without hitting a dozen Targets, Wal-Marts, Bed, Bath & Beyonds, Mega-Ultra-Super shopping malls, a dozen assorted strip malls, and on and on and on...
And they all sell, more or less, the same junk.
I guess it's "convenient" in a sense, but it's also terribly inconvenient in others.
If the labor pool that these things draw from was to dry up to the point where there were only competing Targets and Wal-Marts directly across the street from each at every
other stop light, I expect NJ would eventually learn how to cope.
All that surplus labor pool could move to the South or the Midwest where they'd be more in their element (low education, cheese-based diet, penchant for moonshine and meth, marry their sister, that sort of thing).